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10312812 = 22331741137
BaseRepresentation
bin100111010101…
…110001101100
3201101221112000
4213111301230
510120002222
61005012300
7153441336
oct47256154
921357460
1010312812
115904194
123554090
1321a1073
141526456
15d8a9ac
hex9d5c6c

10312812 has 96 divisors (see below), whose sum is σ = 29211840. Its totient is φ = 3133440.

The previous prime is 10312811. The next prime is 10312823. The reversal of 10312812 is 21821301.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (10312811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 75208 + ... + 75344.

It is an arithmetic number, because the mean of its divisors is an integer number (304290).

Almost surely, 210312812 is an apocalyptic number.

10312812 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10312812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14605920).

10312812 is an abundant number, since it is smaller than the sum of its proper divisors (18899028).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10312812 is a wasteful number, since it uses less digits than its factorization.

10312812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 10312812 is about 3211.3567226330. The cubic root of 10312812 is about 217.6668873726. Note that the first 3 decimals are identical.

The spelling of 10312812 in words is "ten million, three hundred twelve thousand, eight hundred twelve".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 41 51 54 68 82 102 108 123 137 153 164 204 246 274 306 369 411 459 492 548 612 697 738 822 918 1107 1233 1394 1476 1644 1836 2091 2214 2329 2466 2788 3699 4182 4428 4658 4932 5617 6273 6987 7398 8364 9316 11234 12546 13974 14796 16851 18819 20961 22468 25092 27948 33702 37638 41922 50553 62883 67404 75276 83844 95489 101106 125766 151659 190978 202212 251532 286467 303318 381956 572934 606636 859401 1145868 1718802 2578203 3437604 5156406 10312812